If the ecologist placed 12 kangaroo rats in the area between the patches and the animals followed an ideal free distribution, approximately how many individuals would be in each habitat?

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An ecologist studied how many kangaroo rats could be supported in two different habitats, a high‐quality habitat and a low‐quality habitat. The ecologist estimated the per capita benefit in each habitat as the number of individuals increased.

**Activity: Population Distribution in Habitat Patches**

This section allows users to input data regarding population distribution in different habitat patches. The text fields provided serve as input areas where users can specify the number of individuals present. These fields facilitate user interaction and data collection for educational analysis.

- **Number of individuals in the high-quality patch:** [Input Field]
  
- **Number of individuals in the low-quality patch:** [Input Field]

**Explanation:**

These input fields allow students to consider and record population dynamics within different habitat qualities. A high-quality patch refers to an area with abundant resources and favorable living conditions, while a low-quality patch may have limited resources and harsher conditions. Analyzing these numbers helps students understand ecological concepts such as resource distribution and population viability.
Transcribed Image Text:**Activity: Population Distribution in Habitat Patches** This section allows users to input data regarding population distribution in different habitat patches. The text fields provided serve as input areas where users can specify the number of individuals present. These fields facilitate user interaction and data collection for educational analysis. - **Number of individuals in the high-quality patch:** [Input Field] - **Number of individuals in the low-quality patch:** [Input Field] **Explanation:** These input fields allow students to consider and record population dynamics within different habitat qualities. A high-quality patch refers to an area with abundant resources and favorable living conditions, while a low-quality patch may have limited resources and harsher conditions. Analyzing these numbers helps students understand ecological concepts such as resource distribution and population viability.
### Text and Table

The table displays the per capita benefit for kangaroo rats in two different habitat patches: high-quality and low-quality. The data is arranged according to the number of individuals in each habitat.

#### Table: Per Capita Benefit by Habitat Quality

| Number of individuals | High-quality patch per capita benefit | Low-quality patch per capita benefit |
|-----------------------|--------------------------------------|-------------------------------------|
| 1                     | 10.0                                 | 5.0                                 |
| 2                     | 7.9                                  | 4.3                                 |
| 3                     | 6.5                                  | 3.7                                 |
| 4                     | 5.4                                  | 3.2                                 |
| 5                     | 4.5                                  | 2.9                                 |
| 6                     | 3.9                                  | 2.6                                 |
| 7                     | 3.4                                  | 2.4                                 |
| 8                     | 3.0                                  | 2.2                                 |
| 9                     | 2.7                                  | 2.0                                 |
| 10                    | 2.4                                  | 1.9                                 |

### Graph: Per Capita Benefit vs. Number of Individuals

The graph plots per capita benefits against the number of individuals in each habitat. The x-axis represents the "Number of individuals," ranging from 0 to 12. The y-axis denotes the "Per capita benefit," ranging from 0 to 10.

- **Red Dots**: Represent the per capita benefits in the high-quality patch.
- **Blue Dots**: Represent the per capita benefits in the low-quality patch.

The trend shows a decrease in per capita benefits as the number of individuals increases in both patches. Initially, the high-quality patch offers greater benefits, but as the population density rises, the benefits drop more sharply compared to the low-quality patch.

### Text Query

"If the ecologist placed 12 kangaroo rats in the area between the patches and the animals followed an ideal free distribution, approximately how many individuals would be in each habitat?"

This question requires understanding the graph and table to estimate the ideal distribution of individuals between the high- and low-quality patches based on equalized per capita benefits.
Transcribed Image Text:### Text and Table The table displays the per capita benefit for kangaroo rats in two different habitat patches: high-quality and low-quality. The data is arranged according to the number of individuals in each habitat. #### Table: Per Capita Benefit by Habitat Quality | Number of individuals | High-quality patch per capita benefit | Low-quality patch per capita benefit | |-----------------------|--------------------------------------|-------------------------------------| | 1 | 10.0 | 5.0 | | 2 | 7.9 | 4.3 | | 3 | 6.5 | 3.7 | | 4 | 5.4 | 3.2 | | 5 | 4.5 | 2.9 | | 6 | 3.9 | 2.6 | | 7 | 3.4 | 2.4 | | 8 | 3.0 | 2.2 | | 9 | 2.7 | 2.0 | | 10 | 2.4 | 1.9 | ### Graph: Per Capita Benefit vs. Number of Individuals The graph plots per capita benefits against the number of individuals in each habitat. The x-axis represents the "Number of individuals," ranging from 0 to 12. The y-axis denotes the "Per capita benefit," ranging from 0 to 10. - **Red Dots**: Represent the per capita benefits in the high-quality patch. - **Blue Dots**: Represent the per capita benefits in the low-quality patch. The trend shows a decrease in per capita benefits as the number of individuals increases in both patches. Initially, the high-quality patch offers greater benefits, but as the population density rises, the benefits drop more sharply compared to the low-quality patch. ### Text Query "If the ecologist placed 12 kangaroo rats in the area between the patches and the animals followed an ideal free distribution, approximately how many individuals would be in each habitat?" This question requires understanding the graph and table to estimate the ideal distribution of individuals between the high- and low-quality patches based on equalized per capita benefits.
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